Use our free GCF of Fractions Calculator tool to compute the GCF of 19/604, 533/957, 889/503 i.e 1/290748084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 19/604, 533/957, 889/503.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 19/604,533/957,889/503
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 19/604,533/957,889/503, numerators are 19,533,889
Denominators are 604,957,503
The GCF of 19,533,889 is 1 .
LCM of 604,957,503 is 290748084.
The greatest common factor of 19/604,533/957,889/503 = [GCF of 19,533,889]/[LCM of 604,957,503]= 1/290748084
Therefore, the GCF of 19/604,533/957,889/503 is 1/290748084.
To find the highest common factor of 19,533,889, we have to find the factors of both numbers and list the highest common factor.
The factors of 19 are 1, 19
The factors of 533 are 1, 13, 41, 533
The factors of 889 are 1, 7, 127, 889
The HCF of 19,533,889 is 1.
Lets's calculate GCF of 19,533,889
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 19
:1,19
Now, list down the factors of 533
:1,13,41,533
Now, list down the factors of 889
:1,7,127,889
Greatest Common Factor
We found the factors 19,533,889 . The biggest common factor number is the GCF number.
So the greatest common factor 19,533,889 is 1.
Lets's calculate LCM of 604,957,503
Given numbers has no common factors except 1. So, there LCM is their product i.e 290748084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/290748084
Therefore, the GCF of Fractions 19/604,533/957,889/503 is 1/290748084
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 604,957,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(604,957,503) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(604,957,503) x common factors =1 x 1 = 1
LCM(604,957,503) = ( 604 × 957 × 503 ) / 1
LCM(604,957,503) = 290748084 / 1
LCM(604,957,503) = 290748084
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 19,533,889?
The HCF of 19,533,889 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 19/604, 533/957, 889/503?
Answer: GCF of Numerators as per given numbers 19/604, 533/957, 889/503 is
GCF of Numerators i.e. for 19,533,889 is 1
LCM of denominators i.e. for 604,957,503 is 290748084.
Thus, GCF of Fractions is 1/290748084.Finally, GCF of Fractions for 19/604, 533/957, 889/503 is 1/290748084.